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Proximity effects and Andreev reflection in mesoscopic SNS junction with perfect NS interfaces

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 Added by Tatyana I. Baturina
 Publication date 1999
  fields Physics
and research's language is English
 Authors Z. D. Kvon




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Low temperature transport measurements on superconducting film - normal metal wire - superconducting film (SNS) junctions fabricated on the basis of 6 nm thick superconducting polycrystalline PtSi films are reported. The structures with the normal metal wires of two different lengths L=1.5 $mu$m and L=6$mu$m and the same widths W=0.3$mu$m are studied. Zero bias resistance dip related to pair current proximity effect is observed for all junctions whereas the subharmonic energy gap structure originating from phase coherent multiple Andreev reflections have occurs only in the SNS junctions with short wires.



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We investigate the Josephson critical current $I_c(Phi)$ of a wide superconductor-normal metal-superconductor (SNS) junction as a function of the magnetic flux $Phi$ threading it. Electronic trajectories reflected from the side edges alter the function $I_c(Phi)$ as compared to the conventional Fraunhofer-type dependence. At weak magnetic fields, $Blesssim Phi_0/d^2$, the edge effect lifts zeros in $I_c(Phi)$ and gradually shifts the minima of that function toward half-integer multiples of the flux quantum. At $B>Phi_0/d^2$, the edge effect leads to an accelerated decay of the critical current $I_c(Phi)$ with increasing $Phi$. At larger fields, eventually, the system is expected to cross into a regime of classical mesoscopic fluctuations that is specific for wide ballistic SNS junctions with rough edges.
Using the tight binding model and the non-equilibrium Green function method, we study Andreev reflection in graphene-superconductor junction, where graphene has two nonequal Dirac Cones split in energy and therefore time reversal symmetry is broken. Due to the anti-chiral edge states of the current graphene model, an incident electron travelling along the edges makes distinct contribution to Andreev reflections. In a two-terminal device, because Andreev retro-reflection is not allowed for just the anti-chiral edges, in this case the mutual scattering between edge and bulk states is necessary, which leads that the coefficient of Andreev retro-reflection is always symmetrical about the incident energy. In a four-terminal junction, however, the edges are parallel to the interface of superconductor and graphene, so at the interface an incident electron travelling along the edges can be retro-reflected as a hole into bulk modes, or specularly reflected as a hole into anti-chiral edge states again. It is noted that, the coefficient of specular Andreev reflection keeps symmetric as to the incident energy of electron which is consistent with the reported results before, however the coefficient of Andreev retro-reflection shows an unexpected asymmetrical behavior due to the presence of anti-chiral edge states. Our results present some new ideas to study the anti-chiral edge modes and Andreev reflection for a graphene model with the broken time reversal symmetry.
258 - Qiang Cheng , Qing-Feng Sun 2021
We propose a universal method to detect the specular Andreev reflection taking the simple two dimensional Weyl nodal-line semimetal-superconductor double-junction structure as an example. The quasiclassical quantization conditions are established for the energy levels of bound states formed in the middle semimetal along a closed path. The establishment of the conditions is completely based on the intrinsic character of the specularly reflected hole which has the same sign relation of its wave vector and group velocity with the incident electron. This brings about the periodic oscillation of conductance with the length of the middle semimetal, which is lack for the retro-Andreev reflected hole having the opposite sign relation with the incident electron. The positions of the conductance peaks and the oscillation period can be precisely predicted by the quantization conditions. Our detection method is irrespective of the details of the materials, which may promote the experimental detection of and further researches on the specular Andreev reflection as well as its applications in superconducting electronics.
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